find the center and radius for the circles with the following equation x^2+y^2-4x+6y+11=0

Answers

Answer 1
rearrange x²+y²-4x+6y=-11 I'll tell you an easy way. take the coefficient of x and divide it by -2 and the coefficient of y and divide it by -2  so -4 ÷-2 = 2           6÷-2= -3 (2,-3) is the center of the circle to know the radius √2² + -3² + -11  =√2  The Radius equals √2

Related Questions

2/3 of the baked chicken was left over. Michela ate 1/4 of the leftover chicken. How much of the whole chicken did Michela eat?

Michela ate of the whole chicken.

Answers

Greetings!

"2/3 of the baked chicken was left over. Michela ate 1/4 of the leftover chicken. How much of the whole chicken did Michela eat?"...

This can solved by multiplying the fraction by each other:

2/3*1/4
2*1=2
3*4=12
=2/12 or 1/6.

She 1/6 of the whole chicken.

Hope this helps.
-Benjamin


Answer: i think its 1/6

Step-by-step explanation:

Use absolute value to express the distance between -10 and 16 on the number line.

Answers

ur answer is twenty six between-10 and 16

Which equation has the solution x=1+- sqrt 5?

Answers

[tex]x = 1 \pm \sqrt{5} \\ \\ x - 1 = \pm \sqrt{5} \\ \\ (x-1)^2 = (\sqrt{5})^2 = 5 \\ \\ x^2 -2x +1 = 5 \\ \\ x^2 -2x -4 = 0[/tex]

Answer:

its d

Step-by-step explanation:

How to write four million

Answers

4,000,000

hope this helps

How would you "remove the discontinuity" of f ? In other words, how would you define f(5) in order to make f continuous at 5? f(x) = x2 − 3x − 10 x − 5

Answers

Divide 5 on each side. Then that would be the answer,f=-8

How do you know when a function is continuous?

Saying a characteristic f is continuous whilst x=c is the same as announcing that the characteristic's two-side restrict at x=c exists and is identical to f(c).

How many are continuous variables?

Continuous variables are numeric variables that have a limitless quantity of values among any two values. A non-stop variable may be numeric or date/time. For example, the length of a part of the date and time a payment is acquired.

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The sum of two consecutive even integers is 218. What are the integers

Answers

108 and 110

They are consecutive even numbers.
If you combined them, you'd get 218.

The required two consecutive even integers that add up to 218 are 108 and 110.

What are integers?

Integers are numbers that can be written without a fractional or decimal component, such as -3, -2, -1, 0, 1, 2, 3, and so on. They include the positive whole numbers (1, 2, 3, etc.), the negative whole numbers (-1, -2, -3, etc.), and zero.

To find the two consecutive even integers that add up to 218, we can use algebra.

Let's represent the first integer "x".

Since it is even, we know that it can be divided by 2 with no remainder.

Since it is also consecutive to the second integer, we can say that the second integer is "x + 2".

We can set up the equation:

x + (x + 2) = 218

Simplifying, we get:

2x + 2 = 218

2x = 216

x = 108

So the two consecutive even integers that add up to 218 are 108 and 110.

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Marshall bought some pet supplies for $15. The sales tax was 6%. He wrote the expression 1.06(15) to find his total cost.

Which equivalent expression could he also use to find the total cost?

A (1+0.06)15
B 1+0.06(15)
C15+0.6(15)
D15 + 0.06

Answers

Your equivalent expression would be (1+0.06)15=A.

Answer:

A is correct

Step-by-step explanation:

Marshall bought some pet supplies for $15

The sales tax was 6%

Expression: 1.06(15)

Cost of pet = $15

Sale tax = 6% of 15

             = 0.06×15

Total cost after sale tax = 15 + 0.06×15

Take out 15 common = (1+0.06)15

The given expression is equivalent to (1+0.06)15

1.06(15) = (1+0.06)15

Using (1+0.06)15 to find total cost.

Sweet T has 2 orange picks for every 5 green. If there are 21 picks in all, how many picks are orange?

Answers

Hello There!

The ratio of orange to green is 2:5
5 + 2 = 7
21/7 = 3
2 x 3 = 6
5 x 3 = 15.
It would be a ratio of 6:15 now.
There are 6 orange picks.

Hope This Helps You!
Good Luck :)

Answer:

The number of picks which are orange is:

6

Step-by-step explanation:

Sweet T has 2 orange picks for every 5 green.

i.e. if orange picks=2x then green picks=5x

There are 21 picks in all

i.e. 2x+5x=21

⇒ 7x=21

Dividing both sides by 7

⇒ x=3

So, number of orange picks=2×3=6

The number of picks which are orange is:

6

A car averages 27 miles per gallon. If gas costs $4.04 per gallon, which of the following is closest to how much the gas would cost for this car to travel 2,727 typical miles?

Answers



First, lets find the number of gallons needed for 2727 miles. We can do this by dividing the miles by the miles per gallon, this way we have an number in gallons. So...
2727 / 27 = 101Gallons

Now, we know we need 101 gallons, and since each gallon is 4.04, we can find how much it is, by multiplying the amount times the number needed So...
101 * 4.04 = 408.04

Which rate is equivalent to the unit rate of 13 miles per gallon? (5 points)

Answers

13 miles per gallon....13/1
now all u have to do is find an equivalent fraction.
26/2 = 13/1...they're equivalent...so ur answer is 26/2

Answer:

26/2

Step-by-step explanation:

i just know its right cause i got it right

a cube shaped terrarium has a volume of 27/64 cubic feet. what is the length of its sides?

Answers

bearing in mind that a cube is  just a rectangular prism with all sides of the same length.

check the picture below.

What is y=-9/2x-11 in standard form?

Answers

y=mx+b is the slope formula
So the equation you have listed follows the standard form of the slope formula
y=-9/2x(slope)-11(y-intersect)

Basically, you don't have to solve an equation that looks something like:
9/2x + y=-11 to put it into the standard form you have presented.

The standard form of the equation y = - 9/2x - 11 is 9x + 2y = - 22.

Given that,

The equation of a line is,

y = - 9/2x - 11

Now we can change the equation into standard form as,

y = - 9/2x - 11

Multiply both sides by 2;

2y = - 9x - 22

Add 9x on both sides,

2y + 9x = - 22

Arrange the equation,

9x + 2y = - 22

Therefore, the standard form is 9x + 2y = -22.

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For each mixed number, find the decimal for the fraction part. Then write the mixed number as a decimal. 7 3/4 ______ 11 5/6______ 12 3/10 _______ 8 5/18______

Answers

7 3/4 as a decimal would be 9.33333 repeated
11 5/6 as a decimal would be 13.2
12 3/10 as a decimal would be 40 
8 5/18 as a decimal would be 28.8

A store item is originally priced at $80. The item goes on sale at a 25% discount. Two weeks later that sales price is marked down an additional 10%. What is the current price of the item?

Answers

80 - (80 x .25) = $60
60 - (60 x .10) = $54

Answer is $54 dollars

Nicole is trying to determine an algebraic expression to represent the amount of dog biscuits she needs to purchase for a dog show. She does not know how many dogs will attend the event but wants to have 2 biscuits per dog plus an additional 35 dog biscuits. If d represents the number of dogs, which expression represents the number of dog biscuits Nicole will need for the event?

Answers

2d+35      Hope it helps!!

Answer:

[tex]2d+35[/tex]

Step-by-step explanation:

Let d represents the number of dogs that will attend the event.

She wants to have 2 biscuits per dog plus an additional 35 dog biscuits.

So, the expression that represents the number of dog biscuits Nicole will need for the event is :

[tex]2d+35[/tex]

2d because 2 biscuits for each dog where 'd' is the number of dogs. And 35 is constant because she will be taking extra 35 with her.

can someone help with me with (bi)

Answers

Hello,

[tex] x=a*cos(t)==\ \textgreater \ \dfrac{dx}{dt} =-a*sin(t)\\ y=a*sin(t)==\ \textgreater \ \dfrac{dy}{dt}=a*cos(t)\\ \dfrac{dy}{dx} =- \dfrac{1}{tan(t)} \\\\ x= \dfrac{a}{2} ==\ \textgreater \ \\\\ cos(t)= \dfrac{1}{2} ==\ \textgreater \ t= \dfrac{\pi}{3} ==\ \textgreater \ y=a* \dfrac{\sqrt{3}}{2} \\\\ y'=- \dfrac{\sqrt{3}}{3} \\\\ \textrm{Equation of the tangent :}\\ y-a*\dfrac{\sqrt{3}}{2}=(x-\dfrac{a}{2} )*(- \dfrac{\sqrt{3}}{3})\\\\ y=- \dfrac{ \sqrt{3} }{3} *x+2*a*\dfrac{\sqrt{3}}{3}\\\\ \boxed{3y= \sqrt{3} *(2a-x)} [/tex]

What property of real numbers is being used in the following (x+a)(x+b)=(x+a)x + (x+a)b ?

Answers

The distributive property. If we expand it, we get (x)(x+a)+b(x+a) by separating the variables in (x+b) 
Distributive property. It shows that the first is being multiples the second.

What is 362,584 rounded to the nearest thousand?


Answers

363000  because the numbers behind it are larger then 4

                                    
363,000 because 8 rounds up so 5 turns to 6 then 2 turns to 3.

what is 24/7 as a mixed number

Answers

I can't do the fraction bar but it's 3 and 3/7
3 3\7. You can make it long division. Put 24 in the box and 7 outside 7 goes into 2 0 times. 7 goes into 24 3 times (3x7=21) put 3 on top of the box. Subtract
24-21=3. Add the 0 to the top of the box and make it a fraction. 3 as the numerator and 7 as the denminator.

how to find the 23rd term of -21.-27.-33.-39

Answers

well...if you notice, the first value is -21, the second is -27... what happened? it went "down" by 6 units...ok... the next one is -33, wait a second? it went down again by 6 units? -27 - 6 = -33, the next is -39, again 6 units, what the dickens?

well, you get the next term by simply subtracting 6 or "adding" -6 to the current one, thus is an arithmetic sequence, so thus -6 is then the "common difference", and the first value is -27.

[tex]\bf n^{th}\textit{ term of an arithmetic sequence}\\\\ a_n=a_1+(n-1)d\qquad \begin{cases} n=n^{th}\ term\\ a_1=\textit{first term's value}\\ d=\textit{common difference}\\ ----------\\ a_1=-27\\ d=-6\\ n=23 \end{cases} \\\\\\ a_n=-27+(23-1)(-6)\implies a_{23}=-27+(23-1)(-6) \\\\\\ a_{23}=-27+(-132)\implies a_{23}=-27-132\implies \boxed{a_{23}=-159}[/tex]

janet has 17 quarters and $13 in bills.How much total money does she have?

Answers

So, we have to convert 17 quarters to dollars. We know .25 of a dollar is a quarter:

0.25 * 17 = 4.25

Now, lets add that to 13:

13 + 4.25 = $17.25

Hope this helps!
answer: $17.25

work:
17 x 0.25 = 4.25
4.25 + 13 = 17.25

hope this helps and have a great day!

Solve for n. 22 + n - 7 = 8n - 3n + n

Answers

22 + n - 7 = 8n - 3n + n
22-7=8n-3n
15=5n
n=3

hope this helps!
n = 3 because
Combine 22 and 7, and all the numbers in the other side, and you get
15+n=6n
And subtract n from both sides
And you get 15=5n
Divide both sides by 5
And you get 3=n

can u help me with question 37?

Answers

x^12/x^9=125

Simplify the left side
x^3=125

Find the cube root of both sides
x=5

Final answer: The number is 5

Cora sliced 18 kg of green apples for a Party. she divided the Apple slices equally bettween 5 large bowls. How many grams of Apple slices did Cora put in each bowl. kilogram = 1000 grams

Answers

First, you want to convert your 18kg to grams. This is just 18*1,000=18,000g. Then to find your answer, you just need to divide 18,000g by 5 since the slices are being divided between 5 bowls.

The number of grams should be 3,600 grams.

Given that,

Cora sliced 18 kg of green apples for a Party. she divided the Apple slices equally between 5 large bowls.

Based on the above information, the calculation is as follows:

[tex]= 18\times 1,000 \div 5[/tex]

= 3,600 grams

Therefore we can conclude that The number of grams should be 3,600 grams.

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On a trip Jeff’s car goes 112 miles and uses 4
gallons of gas what is the unit rate for mile to gas

Answers

112/4 = 28

This means that it is 28 miles a gallon.

Hope this helps! :)
So there is 112 you divide that by 4. Which is 28. So it is 28 over 1.

an appliance store sells a washer dryer combination for $1500 if the washer costs $200 more than the dryer find the cost of each appliance.

Answers

Make an equation

X+X+200=1500

Isolate the variable

2x=1300

X=650

Know that we know what X is, we know that X + 200 will equal the cost of the second appliance

650+850=1500
Final answer:

To find the cost of the washer and the dryer when the total cost is known along with the difference in their costs, we used a simple algebraic method of solving equations to determine that the dryer costs $650 and the washer costs $850.

Explanation:

The question involves solving a system of linear equations to find the cost of two items whose total and difference in cost are known. To find the cost of each appliance, let's denote the cost of the dryer as x dollars. According to the problem, the washer costs $200 more than the dryer, so the washer's cost would be x + $200. The total cost of both appliances is $1500.

We can set up the following system of equations:

x + (x + 200) = 1500

Solving the equations, we combine like terms:

2x + 200 = 15002x = 1300x = 650

Now we know the dryer costs $650 and the washer costs $650 + $200 = $850.

What times what equals 18

Answers

9•2 = 18 is the answer
9 times two, 3 times 6.

current rules for telephone area codes allow the use of digits 2-9 for the first digit and 0-9 for the second and third digits. how many different area codes are possible with this rules? That same rule applies to the exchange number. which are the three digits immediately preceding the last four digits of a phone number. Given both of those rules, how many 10- digit phone numbers are possible? given that rules apply to the United States and Canada and a few islands, are there enough possible phone numbers? (assume that the combined population is about 400,000,000.

Answers

In this question, there are 10 digit phone number which was divided into 3-3-4 digits. Every first digit of the division should be 2-9 which mean only 8 possibilities. The other digits would be 0-9 which mean 10 possibilities. Then the calculation would be:

8*10*10   *    8*10*10    *   8*10*10*10  = 8^3 * 10*7= 512 * 10^7= 5.12 * 10^9

If you convert 400,000,000 into the scientific form it will become 4* 10^8. Since 5.12*10^9 > 4 * 10^8, then it is clear that the number should be enough

Final answer:

There are 800 possible area codes and exchange numbers each, following the given digit restrictions. The total number of unique 10-digit phone numbers given these rules is 6,400,000,000, which is sufficient considering a population of about 400,000,000.

Explanation:

The question addresses how many different area codes and phone numbers are possible given certain digit restrictions for both the United States and Canada. For the area code, the first digit can be any from 2 to 9, which gives us 8 possibilities, and the second and third digits can be any from 0 to 9, which provides 10 possibilities each. Therefore, the number of different area codes is 8 × 10 × 10 = 800.

Applying the same rules to the exchange number, which also has three digits, we have another 800 possibilities. Considering there are 10,000 combinations for the last four digits (from 0000 to 9999), we can calculate the total number of unique 10-digit phone numbers by multiplying the possibilities for the area code, exchange number, and the last four digits: 800 × 800 × 10,000 = 6,400,000,000 possible phone numbers.

Since the combined population of the United States, Canada, and a few islands is about 400,000,000, this amount of possible phone numbers is more than sufficient to provide a unique phone number for every individual.

A robot can complete 7 tasks in 4/5 hour. Each task takes the same amount of time.

Answers

1 hour= 60mins, therefor we divide 60 over 5 which gives a result of 12 so 12 (4/5)= 48/60 then the robot completes 7 tasks every 48mins therefor we divide 48/7 and it gives a result of approximately 6.85

Approximately it takes 6.85 minutes to complete 1 task.

Given that, a robot can complete 7 tasks in 4/5 hour.

What is unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

It takes 4/5 hour (48 minutes) to complete 7 tasks.

Now, 48/7 = 6.85 minutes

So, it takes 6.85 minutes to complete 1 task.

Therefore, approximately it takes 6.85 minutes to complete 1 task.

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"Your question is incomplete, probably the complete question/missing part is:"

A robot can complete 3 tasks in 4/5 hour. Each task takes the same amount of time.

How long does it take the robot to complete one​ task?

Abe is going to plant 54 oak trees and 27 pine trees. Abe would like to plant the trees in rows that all have the same number of trees and are made up of only one type of tree. What is the greatest number of trees Abe can have in each row?

Answers

Answer with explanation:

Number of oak trees =54

Number of pine trees =27

→Abe would like to plant the trees in rows that all have the same number of trees and are made up of only one type of tree.

We, will take H CF that is highest common factor of 54 and 27.

54 = 2×3×3×3

27=3×3×3

→H CF(54,27)=3 × 3×3=27

So, greatest number of trees Abe can have in each row =27,and there will be maximum of 3 rows, 2 containing oak tree because [tex]\frac{54}{27}=2[/tex], and one containing pine tree because[tex] \frac{27}{27}=1[/tex].

The greatest number of trees in each row is 27.

What are factors?

The factors of a number are numbers that divide the original number into equal numbers. They are numbers that when they are used to divide another number, the result is an integer.

What is the greatest number of trees that can be in each row?

In order to determine the required value, we have to determine the common factors of 27 and 54.

Factors of 27 = 1, 3, 9 and 27Factors of 54 = 1, 2, 3, 6, 9, 18, 27, 54.Common factors = 1, 3, 9, 27

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